Numerical evaluation of the green's functions for arbitrarily shaped enclosures

Juan Sebastian Gomez Diaz, M. Martínez-Mendoza, F. D. Quesada-Pereira, J. Pascual-Garcia, F. J. Perez-Soler, A. Alvarez-Melcon

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


In this paper, a new spatial method has been implemented for the efficient calculation of the mixed potential Green's functions associated to electrical sources, when they are placed inside arbitrarily-shaped cylindrical cavities. The technique consists of placing electric dipole images and charges outside the cavity, imposing, at discrete points of the metallic wall, the appropriate boundary conditions for the potentials. Results show that the numerical convergence is attained fast. The cut-off frequencies and potential patterns for a trapezium-shaped waveguide are compared to those obtained by a standard finite elements technique, showing excellent agreement. Furthermore, a printed planar filter shielded in a square cavity has been analyzed with the new Green's functions, showing the practical value of the new theory.

Original languageEnglish (US)
Title of host publication2007 IEEE MTT-S International Microwave Symposium Digest
Number of pages4
StatePublished - Oct 2 2007
Externally publishedYes
Event2007 IEEE MTT-S International Microwave Symposium, IMS 2007 - Honolulu, HI, United States
Duration: Jun 3 2007Jun 8 2007


Other2007 IEEE MTT-S International Microwave Symposium, IMS 2007
Country/TerritoryUnited States
CityHonolulu, HI


  • Cavities
  • Green functions
  • Printed circuits
  • Waveguide filters
  • Waveguides

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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